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Finding the Third Proportional to 284,313 and 607,992

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Solution

The third proportional to 284,313 and 607,992 is: 1,300,166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,313 : 607,992 = 607,992 : x
  2. Step 2: Convert to fraction form
    284,313/607,992 = 607,992/x
  3. Step 3: Cross multiply
    284,313x = 607,992 × 607,992
  4. Step 4: Simplify right side
    284,313x = 369,654,272,064
  5. Step 5: Solve for x
    x = 369,654,272,064/284,313
  6. Step 6: Final answer
    x = 1,300,166.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.